In order for Alice to graduate with her friends she has to take 9 more

In order for Alice to graduate with her friends she has to take 9 more classes. None of the courses are prerequisites to the others and she is eligible to take all 9 courses. She decides that she cannot handle taking more than four classes per semester. If she takes 4 classes (and presuming that all classes are available) how many different schedules can she create for next semester?2. Your brother is buying a car from a friend he works with for $1000. You ask him why the car is so inexpensive and he replies that his friend thinks that some of the cylinders in the car may be bad. You have worked on cars and know this is a big problem so you go over to inspect the car. In the meantime, your brother’s friend admits that two of the cylinders are in fact defective. The car has an eight-cylinder engine. You open the hood to check out the engine and you randomly select two cylinders to inspect. What is the probability that both of the cylinders you select are defective?0.06250.3750.0360.253. Your brother is buying a car from a friend he works with for $1000. You ask him why the car is so inexpensive and he replies that his friend thinks that some of the cylinders in the car may be bad. You have worked on cars and know this is a big problem so you go over to inspect the car. In the meantime, your brother’s friend admits that two of the cylinders are in fact defective. The car has an eight-cylinder engine. You open the hood to check out the engine and you randomly select two cylinders to inspect. What is the probability that at least one of the cylinders you select is defective?46%53%96%13%4. Your brother is buying a car from a friend he works with for $1000. You ask him why the car is so inexpensive and he replies that his friend thinks that some of the cylinders in the car may be bad. You have worked on cars and know this is a big problem so you go over to inspect the car. In the meantime, your brother’s friend admits that two of the cylinders are in fact defective. The car has an eight-cylinder engine. You open the hood to check out the engine and you randomly select two cylinders to inspect. What is the probability that neither of the cylinders you select are defective?0.0360.5360.0460.255. A vendor at a local farmers market sells apples from his orchard. Because these are special organic apples, he sells them per piece instead of by the pound. Of course all apples look good from the outside, but sometimes when you get them home you cut the apple open and find a worm! Elna goes to the farm market late on a Saturday and the apple vendor only has 10 apples left to sell. She decides that she wants two – one to eat on her way home and one for her lunch tomorrow. What she does not know is that out of the 10 apples she has to select from, 3 have worms in them! If she selects two apples from the basket – one at a time – what is the probability that both of them have worms in them? Approximately 5%Approximately 25%Approximately 9%Approximately 7%

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